package problems;

public class Euler018 extends AbstractEuler {

	protected int[][] getNumbers() {
		return new int[][] {
					  {75},
		 			 {95,64},
				    {17,47,82},
				   {18,35,87,10},
				  {20, 4,82,47,65},
				 {19, 1,23,75, 3,34},
				{88, 2,77,73, 7,63,67},
			   {99,65, 4,28, 6,16,70,92},
		      {41,41,26,56,83,40,80,70,33},
		     {41,48,72,33,47,32,37,16,94,29},
		    {53,71,44,65,25,43,91,52,97,51,14},
		   {70,11,33,28,77,73,17,78,39,68,17,57},
		  {91,71,52,38,17,14,91,43,58,50,27,29,48},
		 {63,66, 4,68,89,53,67,30,73,16,69,87,40,31},
		{ 4,62,98,27,23, 9,70,98,73,93,38,53,60, 4,23}
		};
	}
	
	@Override
	public Number calculate() {
		int[][] numbers = getNumbers();
		for (int i = numbers.length - 1; i > 0; i--) { //don't do i == 0, because it contains the answer
			for (int j = 1; j < numbers[i].length; j++) { //start with j = 1 to skip the leftmost column
				numbers[i-1][j-1] += Math.max(numbers[i][j], numbers[i][j-1]);
			}
		}
		return numbers[0][0];
	}

	@Override
	protected Number getCorrectAnswer() {
		return 1074;
	}

}
